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Finding the Fourth Proportional to 2,011,036,896,401.40, 3,016,555,344,602 and 2,011,036,896,401.40

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Solution

The fourth proportional to 2,011,036,896,401.40, 3,016,555,344,602 and 2,011,036,896,401.40 is: 3,016,555,344,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,036,896,401.40 : 3,016,555,344,602 = 2,011,036,896,401.40 : x
  2. Step 2: Convert to fraction form
    2,011,036,896,401.40/3,016,555,344,602 = 2,011,036,896,401.40/x
  3. Step 3: Cross multiply
    2,011,036,896,401.40x = 3,016,555,344,602 × 2,011,036,896,401.40
  4. Step 4: Simplify right side
    2,011,036,896,401.40x = 6,066,404,098,031,461,020,467,200
  5. Step 5: Solve for x
    x = 6,066,404,098,031,461,020,467,200/2,011,036,896,401.40
  6. Step 6: Final answer
    x = 3,016,555,344,602

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.